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Finding the Third Proportional to 44,884 and 94,412

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Solution

The third proportional to 44,884 and 94,412 is: 198,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,884 : 94,412 = 94,412 : x
  2. Step 2: Convert to fraction form
    44,884/94,412 = 94,412/x
  3. Step 3: Cross multiply
    44,884x = 94,412 × 94,412
  4. Step 4: Simplify right side
    44,884x = 8,913,625,744
  5. Step 5: Solve for x
    x = 8,913,625,744/44,884
  6. Step 6: Final answer
    x = 198,592.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.